Distance-Based Ranking Fuzzy Numbers

Distance-Based Ranking Fuzzy Numbers
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基于距离的排序模糊数

DOI:
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发表时间:
2012
期刊:
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影响因子:
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通讯作者:
Ahmad Syafadhli Abu Bakar
Ahmad Syafadhli Abu Bakar
中科院分区:
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文献类型:
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作者:
D. Mohamad;N. Sulaiman;Ahmad Syafadhli Abu Bakar

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直到最近,使用各种方法来确定模糊数的排序的许多方法已经被引入。然而,一些排序方法不能有效地区分模糊数。本文提出了一种基于距离的模糊数排序方法,该方法涉及模糊数的水平x值、质心点值、相似度、高度和散度。将所提出的排序方法应用于几个模糊数基准集进行比较。我们的方法可以解决一些模糊数的组合,这些组合是其他方法不能适当排序的。
Until recently, many methods using various approaches in determining the ranking of fuzzy numbers have been introduced. However, some ranking methods cannot discriminate fuzzy numbers effectively. In this paper, we propose a method of ranking fuzzy numbers using distance-based approach involving horizontal x value, centroid point value, similarity measure, height and spread of fuzzy numbers. The proposed ranking method is applied to several benchmarking sets of fuzzy numbers for comparison. Our method can solve some combinations of fuzzy numbers that cannot be appropriately ranked by other methods.